What is the 4359th prime number?
The 4359th prime number is 41659. The next prime is 41669 (a gap of 10) and the one before is 41651.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 4359th one is 41659.
- 2
41659 is prime because no prime up to ā41659 ā 204.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4359th prime is close to 4359 Ć ln(4359) ā 36528, and here it is 41659.
- 4
41659 has no twin: neither 41657 nor 41661 is prime.
Primes around the 4359th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4356 | 41641 | 14 |
| 4357 | 41647 | 6 |
| 4358 | 41651 | 4 |
| 4359 | 41659 | 8 |
| 4360 | 41669 | 10 |
| 4361 | 41681 | 12 |
| 4362 | 41687 | 6 |
Questions
What is the 4359th prime number?
41659.
Which prime number is 41659?
41659 is the 4359th prime number.
What is the sum of the first 4359 primes?
85,546,312.